PAG 1.1-2.3 Flashcards
What is meant by free-fall?
PAG 01.1 - Comparing Methods of Determining g
An object is said to be falling in free-fall if the only force acting on it is gravity. This means that no resistive forces are acting (or in practice they are considered negligible).
What is ‘g’?
Determining g
PAG 01.1 - Comparing Methods of Determining g
Gravitational Field Strength (in our case, on the surface of Earth)
Why can the SUVAT equations be used in this experiment?
PAG 01.1 - Comparing Methods of Determining g
The SUVAT equations can be used since the object will fall with uniform acceleration. This is because the force of gravity is constant at the Earth’s surface.
When plotting a graph of t² against h, how is ‘g’ determined?
PAG 01.1 - Comparing Methods of Determining g
The gradient of the graph will be t²/h. Consequently, the acceleration (‘g’) will be equal to 2/gradient. This comes from the equation s = ut + ½ at², where s=h, a=g and u=0.
When plotting a graph of v² against h, how is ‘g’ determined?
PAG 01.1 - Comparing Methods of Determining g
The gradient of the graph will be v²/h. Consequently, the acceleration (‘g’) will be equal to half the gradient. This comes from the equation v² = u² - 2as, where s=h, a=g and u=0.
Describe how an electromagnet system can be used to determine ‘g’.
PAG 01.1 - Comparing Methods of Determining g
A magnetic ball bearing can be released by an electromagnet clamped at a known height. The timing system starts when the electromagnet is switched off, and the timer is stopped when the ball lands on the finish pad.
When using a clamp stand in this experiment, what safety precaution should be taken?
PAG 01.1 - Comparing Methods of Determining g
The clamp stand should have a counterweight or G-clamp attached to its base to provide a moment to prevent it toppling over.
What safety precaution should be taken when using an electromagnet?
PAG 01.1 - Comparing Methods of Determining g
Electromagnets heat up over time. To reduce this heating effect, you should switch it off when not in use.
Suggest how light-gates could be positioned to ensure that the ball or dowel falls directly through them.
PAG 01.1 - Comparing Methods of Determining g
A plumb line could be used to demonstrate the expected path of the object. This allows the light-gates to be positioned in appropriate places so that the ball will fall through them.
Why is it advantageous to use a small ball-bearing over a larger ball?
PAG 01.1 - Comparing Methods of Determining g
The smaller the ball, the smaller the effects of air resistance. In the case of a small ball-bearing these effects can be considered negligible.
Why should there be a gap between the release position and the first light-gate?
PAG 01.1 - Comparing Methods of Determining g
There should be a gap to ensure that the time over which the ball is passing through the light gate is negligible (the ball is moving sufficiently quick enough).
Explain why this experiment would not be valid if the air resistance acting on the ball wasn’t negligible.
PAG 01.1 - Comparing Methods of Determining g
The ball wouldn’t be in free-fall since the acceleration would not be purely due to the force of gravity. The acceleration would also be variable since air resistance increases with speed, and so the uniform acceleration equations couldn’t be used.
Suggest why your obtained value of ‘g’ may not be the same as the accepted value.
PAG 01.1 - Comparing Methods of Determining g
- Delays in the timing equipment (if using a stop clock, this will be human reaction time)
- Resistive forces are acting
- Errors in height measurements, such as measuring from different positions on the ball each time
What is the advantage of using light-gates over a stop-clock in this experiment?
PAG 01.1 - Comparing Methods of Determining g
Using light-gates should result in a lower uncertainty in your time measurements. A stop-clock will involve human reaction times.
How could your results be improved?
PAG 01.1 - Comparing Methods of Determining g
You should take repeat readings at each height and then calculate the mean time taken. You should also ensure that height measurements are taken from the same position each time.
How should you calculate the uncertainty in your time readings?
PAG 01.1 - Comparing Methods of Determining g
The uncertainty in time will be equal to half the range of your time readings. This can then be converted into a percentage uncertainty.
How do you determine the percentage uncertainty in t²?
PAG 01.1 - Comparing Methods of Determining g
To calculate the percentage uncertainty for a variable that is squared, you double the percentage uncertainty of the variable itself. In this case the percentage uncertainty in t² is double the percentage uncertainty in t.
When plotting a graph how should you determine the scales for the axes?
PAG 01.1 - Comparing Methods of Determining g
The scales should be chosen so that the graph fills at least half the available space. Using numbers that split easily into the
squares on page (such as multiples of 5) will also make plotting simpler.
What is the minimum number of repeat readings you should take in this experiment?
PAG 01.1 - Comparing Methods of Determining g
You should take at least 3 repeat readings at each height. This allows for anomalous results to be more easily identified.
What is the equation used to convert an uncertainty into a percentage uncertainty?
PAG 01.1 - Comparing Methods of Determining g
Percentage Uncertainty = (Uncertainty/Mean Value) x 100%
How can the percentage difference between your value of ‘g’ and the accepted value be calculated?
PAG 01.1 - Comparing Methods of Determining g
[(Your Value - 9.81)/9.81] x 100%
Would you expect your value of ‘g’ to be greater or lower than the accepted value?
PAG 01.1 - Comparing Methods of Determining g
You will most likely obtain a value that is lower than the accepted value, due to air resistance reducing the downwards resultant force acting on the object.
What safety precautions should be taken when carrying out this experiment?
PAG 01.2 - Investigating Terminal Velocity
If any spillages occur, they must be cleaned up immediately. Washing-up liquid is very slippery and so spillages lead to a risk of slipping and injury.
Suggest why light-gates shouldn’t be used when carrying out this experiment
PAG 01.2 - Investigating Terminal Velocity
Light-gates rely on a clear breakage of the beam. This will not occur in this experiment since it is unlikely that the ball will cut the beam. The line of the beam may also be disturbed by the coloured liquid.
What forces act on a ball as it sinks down a tube of liquid?
PAG 01.2 - Investigating Terminal Velocity
A downwards force of weight, and two upwards forces of drag and upthrust.
Describe the forces on the ball when it reaches terminal velocity.
PAG 01.2 - Investigating Terminal Velocity
At terminal velocity, the downwards forces on the ball will equal the upwards forces.
Weight = Upthrust + Drag
Describe how you should take time readings in this experiment.
PAG 01.2 - Investigating Terminal Velocity
Time readings should be taken at eye level to the rubber bands. The lap function should be used to record the time at each band.
How can you ensure that the time readings are accurate?
PAG 01.2 - Investigating Terminal Velocity
The same person should record the time readings throughout. They should measure at eye level to the rubber bands and must ensure they stop the timer at the same relative position between the ball and the band each time.
Suggest why it may be advantageous to use a steel ball bearing in this experiment.
PAG 01.2 - Investigating Terminal Velocity
Steel ball bearings are magnetic. This means that a magnet can be used to easily lift the ball from the bottom of the liquid after each run.
How should the bands be positioned on the tube?
PAG 01.2 - Investigating Terminal Velocity
Each pair of bands should be positioned sufficiently far apart so that the time intervals between each are easily observable and measurable.
How can the density of the liquid in the measuring cylinder be determined?
PAG 01.2 - Investigating Terminal Velocity
Use a mass balance to measure the mass of the empty cylinder. Add the liquid and subtract the first mass measurement from the new mass to obtain the mass of the liquid. Divide this by the volume of liquid to obtain density.
How can the average speed in each interval be calculated?
PAG 01.2 - Investigating Terminal Velocity
Measure the distance between the two bands that make up the interval. Divide this by the time taken for the ball to travel between the two bands.
How can the terminal velocity be obtained from a velocity-time graph?
PAG 01.2 - Investigating Terminal Velocity
When the ball reaches terminal velocity, the velocity-time graph should level off. The velocity at which it levels off at is the terminal velocity.
How should you plot the data you obtain on a graph?
PAG 01.2 - Investigating Terminal Velocity
The data should be plotted on a velocity against cumulative time graph. This should result in a smooth curve.
How can the displacement of the ball be determined from a velocity-time graph?
PAG 01.2 - Investigating Terminal Velocity
The displacement of the ball is given by the area under the velocity-time graph.
What equation can be used to determine the viscosity of the liquid?
PAG 01.2 - Investigating Terminal Velocity
How can the radius of a small ball be measured?
PAG 01.2 - Investigating Terminal Velocity
A screw gauge micrometer can be used to measure the diameter of the ball. This can then be halved to give the radius.
What is an interrupt card?
PAG 01.3 - Investigating Initial Speed and Stopping Distance
An interrupt card is a length of card of a known length. It is attached to a moving object at the height of the light-gates, and cuts the light-beam as it passes through them.
How can the initial velocity be calculated from the data recorded by the light-gate?
PAG 01.3 - Investigating Initial Speed and Stopping Distance
The light-gate will record the time taken for the interrupt card to pass through. The length of the interrupt card can be divided by the time to obtain the velocity.
Where should the light-gate be set-up in this experiment and what does it record?
PAG 01.3 - Investigating Initial Speed and Stopping Distance
The light-gate should be positioned at the start of the metre ruler, so that it can measure the initial speed of the block.